Global Mittag–Leffler stability of coupled system of fractional-order differential equations on network

This paper investigates the global Mittag–Leffler stability of coupled system of fractional-order differential equations on network (CSFDEN). By using graph theory and the Lyapunov method, we provide a method for constructing a global Lyapunov function for CSFDEN. Consequently, several sufficient conditions are obtained to ensure the Mittag–Leffler stability of CSFDEN. These criteria have a close relation to the topology property of the network. Finally, a numerical example is presented to demonstrate the validity and feasibility of the theoretical result.